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Finding the Fourth Proportional to 195.60, 269.55 and 164.40

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Solution

The fourth proportional to 195.60, 269.55 and 164.40 is: 226.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    195.60 : 269.55 = 164.40 : x
  2. Step 2: Convert to fraction form
    195.60/269.55 = 164.40/x
  3. Step 3: Cross multiply
    195.60x = 269.55 × 164.40
  4. Step 4: Simplify right side
    195.60x = 44,314.02
  5. Step 5: Solve for x
    x = 44,314.02/195.60
  6. Step 6: Final answer
    x = 226.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.